Solve the Following Equation: (3"X")/("X" + 6) - "X"/("X" + 5) = 2 - Mathematics

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Sum

Solve the following equation:

`(3"x")/("x" + 6) - "x"/("x" + 5) = 2`

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Solution

`(3"x")/("x" + 6) - "x"/("x" + 5) = 2`


⇒ `(3"x"("x" + 5) - "x"("x" + 6))/(("x" + 6)("x" + 5)) = 2`


⇒ `(3"x"^2 + 15"x" - "x"^2 - 6"x")/("x"^2 + "5x" + "6x" + 30) = 2`


⇒ `(2"x"^2 + 9"x")/("x"^2 + 11"x" + 30) = 2`

⇒ 2x2 + 9x = 2 (x2 + 11x + 30) 

⇒ 2x2 + 9x = 2x2 + 22x + 60

⇒ 2x2 - 2x2 + 9x - 22x = 60 

⇒ -13 x = 60

x = `-60/13 = -4 8/13`

Concept: Solving Linear Inequations
  Is there an error in this question or solution?
Chapter 14: Linear Equations in one Variable - Exercise 14 (A) [Page 166]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (A) | Q 20 | Page 166

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